Pith Number

pith:7TQ4WQ4U

pith:2026:7TQ4WQ4U37VNOD7TYHUW4S6FJC

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Current precision in interacting hybrid Normal-Superconducting systems

Fabio Taddei, Michele Governale, Nahual Sobrino, Rosario Fazio

Coulomb interactions reduce the precision of Andreev-mediated currents in normal-superconducting quantum dots by renormalizing resonances and suppressing coherence.

arxiv:2602.06781 v2 · 2026-02-06 · cond-mat.mes-hall · cond-mat.supr-con

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Record completeness

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4 Citations open

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Claims

C1strongest claim

Coulomb interactions modify Andreev-mediated transport by renormalizing resonant conditions and suppressing superconducting coherence, leading to a pronounced reduction of current precision even when average currents are only weakly affected.

C2weakest assumption

The large superconducting-gap limit together with the validity of the real-time diagrammatic master equation for the interacting case.

C3one line summary

Coulomb interactions renormalize Andreev resonances and suppress coherence in NS quantum dots, producing a pronounced drop in current precision and eliminating quantum TUR violations while the hybrid bound holds.

References

64 extracted · 64 resolved · 0 Pith anchors

[1] The rate matrix can be systematically decomposed into five distinct classes of contributions

[2] We now consider the limitU α → ∞, corresponding to strong local Coulomb blockade in each quantum dot

[3] Single Quantum Dot We start deriving the Green’s function of the sin- gle quantum dot, with the Hamiltonian given in Eq. (7). Using the anticommutator relations{d σ, d† σ′}= δσσ ′,{d σ, dσ′}={d † σ, d

[4] Using the canonical anticommuta- tion relations{d ασ, d† βσ ′}=δ αβδσσ ′ and{d ασ, dβσ ′}= 0, together with the Hamiltonian in Eq

[5] This comparison is restricted to parameter ranges where the HF approximation is considered to be accurate, namelyU≲Γ N and|µ N | ≪k BT

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T02:44:31.348442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce1cb4394dfead70ff3c1e96e4bc548ba803cab01c1d1525affdce923c781fb

Aliases

arxiv: 2602.06781 · arxiv_version: 2602.06781v2 · doi: 10.48550/arxiv.2602.06781 · pith_short_12: 7TQ4WQ4U37VN · pith_short_16: 7TQ4WQ4U37VNOD7T · pith_short_8: 7TQ4WQ4U

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7TQ4WQ4U37VNOD7TYHUW4S6FJC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: fce1cb4394dfead70ff3c1e96e4bc548ba803cab01c1d1525affdce923c781fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0aa3ce7073281e7c7fcd43444d9224b6dc84291e64eb0d5a221601facb97db3",
    "cross_cats_sorted": [
      "cond-mat.supr-con"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2026-02-06T15:39:00Z",
    "title_canon_sha256": "e4240deda54813a5b793109787c47cab4fd12565c87c2feceb76089770bedfdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.06781",
    "kind": "arxiv",
    "version": 2
  }
}